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  1. No Access

    Chapter and Conference Paper

    On the Smallest Synchronizing Terms of Finite Tree Automata

    This paper deals with properties of synchronizing terms for finite tree automata, which is a generalization of the synchronization principle of deterministic finite string automata (DFA) and such terms correspond...

    Václav Blažej, Jan Janoušek, Štěpán Plachý in Implementation and Application of Automata (2023)

  2. Chapter and Conference Paper

    Correction to: Bears with Hats and Independence Polynomials

    Chapter [“Bears with Hats and Independence Polynomials”] was previously published non-open access. It has now been changed to open access under a CC BY 4.0 license and the copyright holder updated to ‘The Auth...

    Václav Blažej, Pavel Dvořák, Michal Opler in Graph-Theoretic Concepts in Computer Science (2021)

  3. Chapter and Conference Paper

    Constant Factor Approximation for Tracking Paths and Fault Tolerant Feedback Vertex Set

    Consider a vertex-weighted graph G with a source s and a target t. Tracking Paths requires finding a minimum weight set of vertices (trackers) such that the sequence of trackers in each path from s to t is unique...

    Václav Blažej, Pratibha Choudhary, Dušan Knop in Approximation and Online Algorithms (2021)

  4. Chapter and Conference Paper

    Bears with Hats and Independence Polynomials

    Consider the following hat guessing game. A bear sits on each vertex of a graph G, and a demon puts on each bear a hat colored by one of h colors. Each bear sees only the hat colors of his neighbors. Based on thi...

    Václav Blažej, Pavel Dvořák, Michal Opler in Graph-Theoretic Concepts in Computer Science (2021)

  5. No Access

    Chapter and Conference Paper

    On the Intersections of Non-homotopic Loops

    Let \(V = \{v_1, \dots , v_n\}\) V = ...

    Václav Blažej, Michal Opler, Matas Šileikis in Algorithms and Discrete Applied Mathematics (2021)

  6. No Access

    Chapter and Conference Paper

    Non-homotopic Loops with a Bounded Number of Pairwise Intersections

    Let \(V_n\) V n ...

    Václav Blažej, Michal Opler, Matas Šileikis in Graph Drawing and Network Visualization (2021)

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    Chapter and Conference Paper

    On the Edge-Length Ratio of 2-Trees

    We study planar straight-line drawings of graphs that minimize the ratio between the length of the longest and the shortest edge. We answer a question of Lazard et al. [Theor. Comput. Sci. 770 (2019), 88–94] and,...

    Václav Blažej, Jiří Fiala, Giuseppe Liotta in Graph Drawing and Network Visualization (2020)

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    Chapter and Conference Paper

    On the m-eternal Domination Number of Cactus Graphs

    Given a graph G, guards are placed on vertices of G. Then vertices are subject to an infinite sequence of attacks so that each attack must be defended by a guard moving from a neighboring vertex. The m-eternal do...

    Václav Blažej, Jan Matyáš Křišt’an, Tomáš Valla in Reachability Problems (2019)

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    Chapter and Conference Paper

    On Induced Online Ramsey Number of Paths, Cycles, and Trees

    An online Ramsey game is a game between Builder and Painter, alternating in turns. They are given a fixed graph H and a an infinite set of independent vertices G. In each round Builder draws a new edge in G and P...

    Václav Blažej, Pavel Dvořák, Tomáš Valla in Computer Science – Theory and Applications (2019)

  10. No Access

    Chapter and Conference Paper

    A Simple Streaming Bit-Parallel Algorithm for Swap Pattern Matching

    The pattern matching problem with swaps is to find all occurrences of a pattern in a text while allowing the pattern to swap adjacent symbols. The goal is to design fast matching algorithm that takes advantage...

    Václav Blažej, Ondřej Suchý, Tomáš Valla in Mathematical Aspects of Computer and Infor… (2017)